In a survey of 320 customers, 58 say that service is poor. You select two customers without replacement to get more information on their satisfaction. What is the probability that both say service is poor?

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Answer:

There is a 3.24% probability that both say service is poor.

Step-by-step explanation:

Initially, there are 320 customers, of which 58 say that the service is poor.

So there is a 58/320 probability that the first customer says that the service is poor.

Suppose the first customer finds the service poor. Since there is no replacement, now there are 319 customers, of which 57 say that the service is poor. So there is a 57/319 probability that the second customer finds the service poor.

What is the probability that both say service is poor?

[tex]P = \frac{58}{320}*\frac{57}{319} = 0.0324[/tex]

There is a 3.24% probability that both say service is poor.